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Information, communication and music: Recognition of musical dissonance and consonance in a simple reservoir computing system
arXiv - CS - Sound Pub Date : 2020-07-08 , DOI: arxiv-2007.04360
Dawid Przyczyna, Maria Szaci{\l}owska, Marek Przybylski, Marcin Strzelecki, Konrad Szaci{\l}owski

Reservoir computing is an emerging, but very successful approach towards processing and classification of various signals. It can be described as a model of a transient computation, where influence of input changes internal dynamics of chosen computational reservoir. Trajectory of these changes represents computation performed by the system. The selection of a suitable computational substrate capable of non-linear response and rich internal dynamics ensures the implementation of simple readout protocols. Signal evolution based on the rich dynamics of the reservoir layer helps to emphasize differences between given signals thus enabling their easier classification. Here we present a simple reservoir computing system (single node echo-state machine) implemented on Multisim platform as a tool for classification of musical intervals according to their consonant or dissonant character. The result of this classification closely resembled sensory dissonance curve, with some significant differences. A deeper analysis of the received signals indicates the geometric relationships between the consonant and dissonant intervals, enabling their classification.

中文翻译:

信息、通信和音乐:在简单的水库计算系统中识别音乐不和谐和和谐

水库计算是一种新兴但非常成功的处理和分类各种信号的方法。它可以被描述为一个瞬态计算模型,其中输入的影响会改变所选计算储层的内部动态。这些变化的轨迹代表系统执行的计算。选择具有非线性响应和丰富内部动态的合适计算基板可确保实现简单的读出协议。基于储层丰富动态的信号演化有助于强调给定信号之间的差异,从而使它们更容易分类。在这里,我们展示了一个在 Multisim 平台上实现的简单储层计算系统(单节点回声状态机),作为根据辅音或不协和特征对音程进行分类的工具。这种分类的结果与感觉失调曲线非常相似,但有一些显着差异。对接收信号的更深入分析表明了辅音和不协和音程之间的几何关系,从而能够对其进行分类。
更新日期:2020-07-10
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